Skip to main content
SpringerLink
Log in

On the rate of convergence of double series of exponents representing regular functions on products of convex polygons

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

Estimates exact in order are obtained in the uniform and integral metrics for the deviation of partial sums of double series of exponents that represent functions which are regular on products of convex polygons and either continuous on a product of closed polygons or belonging to the Smirnov class.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Yu. I. Mel'nik, “On the rate of convergence of series of exponents representing functions regular on convex polygons,”Ukr. Mat. Zh.,37, No. 6, 719–722 (1985).

    Google Scholar 

  2. Yu. I. Mel'nik, “Direct theorems on approximation of functions regular on convex polygons by exponential polynomials in the integral metric,”Ukr. Mat. Zh.,40, No. 5, 584–597 (1988).

    Google Scholar 

Download references

Authors
  1. Yu. I. Mel'nik
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Deceased

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 9, pp. 1271–1274, September, 1994.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mel'nik, Y.I. On the rate of convergence of double series of exponents representing regular functions on products of convex polygons. Ukr Math J 46, 1399–1403 (1994). https://doi.org/10.1007/BF01059431

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01059431

Keywords

Search

Navigation